多状态可靠性系统动态signature及其剩余寿命分析

Analysis of Dynamic Signature and Residual Lifetime for Multi-state Reliability Systems

系统signature是分析系统可靠性的一个强有力的工具。本文研究了多状态系统的动态signature。Signature概念被拓展到多维的情形,并将其应用于两状态元件下多态关联系统的分析,得到系统在每一状态下的联合生存函数的表达式,探究了系统在时刻的动态signature,为处于工作状态的多状态系统在时刻t接受检查,发现其处于l(t)状态并且恰好已发生了q(t)次元件失效,分别给出了两状态元件多态关联系统动态signature及其剩余寿命的表达式。

The notion of signature is a basic concept and a powerful tool in the analysis of reliability systems.In this paper,the concept of bivariate signature for a 3-state system is generalized to a multivariate one,which can be used for evaluation of multi-state systems with binary components.With such a generalization,a representation for the joint survival function of the system lifetime in every specific state is obtained.Furthermore,the dynamic signature has been explored on the condition that a working used multi-state system inspected at time t and it is noted that the system is now in l(t)state and precisely q(t)failures have occurred.As a result,the dynamic signature of a multi-state system that consists of binary components at time t is given as well as its expression of the residual lifetime.In summary.